109452403200 has 960 divisors, whose sum is σ = 450578304000. Its totient is φ = 22852730880.

The previous prime is 109452403189. The next prime is 109452403201. The reversal of 109452403200 is 2304254901.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (109452403201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148108431 + ... + 148109169.

It is an arithmetic number, because the mean of its divisors is an integer number (469352400).

Almost surely, 2^109452403200 is an apocalyptic number.

109452403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109452403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225289152000).

109452403200 is an abundant number, since it is smaller than the sum of its proper divisors (341125900800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109452403200 is a wasteful number, since it uses less digits than its factorization.

109452403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 109452403200 in words is "one hundred nine billion, four hundred fifty-two million, four hundred three thousand, two hundred".